 
 
 
21.1.3  Triangle function
The triangle function is defined by
| Λ(x)= | | ⎧ ⎨
 ⎩
 | | 1−|x|, | |x|<1, |  | 0, | otherwise. | 
 | 
 | 
This is equal to the convolution of rectangle
function with itself (see Section 21.1.2).
The tri
command computes the triangle function.
- 
tri takes
x, an expression.
- tri(x) returns the value of triangle function at x.
Example
|  | | |  | ⎛ ⎝
 | −x+1+1 | ⎞ ⎠
 | ⎛ ⎝
 | θ | ⎛ ⎝
 | x−1 | ⎞ ⎠
 | −θ | ⎛ ⎝
 | x−1−1 | ⎞ ⎠
 | ⎞ ⎠
 | + | ⎛ ⎝
 | 1+x−1 | ⎞ ⎠
 | ⎛ ⎝
 | θ | ⎛ ⎝
 | −x+1 | ⎞ ⎠
 | −θ | ⎛ ⎝
 | −x+1−1 | ⎞ ⎠
 | ⎞ ⎠
 | 
 |  |  |  |  |  |  |  |  |  |  | 
 | 
 
 
